It's difficult to answer, because unless someone has played all those games with a 960 and your requirements, nobody can answer your question. I can't find any reports on the net of the 960 performance at 720p.
I can tell you with confidence you can play Skyrim to your desires and I would predict you can also play all those other games likewise.
GTA V is one of the most demanding games at high settings and going by this you will be fine with a 960 (but GTA V is tricky for any GPU at all max settings):
http://www.legitreviews.com/evga-geforce-gtx-960-ssc-4gb-video-card-review_172290/5
I expect you will breeze through any game with a 960 at 720p.
Do the rest of my linked benchmarks not give you an idea of likely performance?
If you are using NVIDIA Shadow Play then that runs on a dedicated part of the GPU and has negligible impact on fps. If you are encoding your recording using your CPU then that depends on your CPU and the CPU demands of the game. An i5 is fine to run and record almost all games (the one and only it isn't that I've played is AC Syndicate - streaming, not recording (playing at 1440p, streaming at 720p).
As I understand it recording is less demanding than streaming.
Since you will be able to use your CPU to encode your recording the GPU will not matter or be troubled by it.
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